At first, Peter had 164 more purple beads than white beads in a box. Each day, he took out 10 purple beads and 4 white beads from the box. After some time, he only had 10 white beads left in the box.
- How many beads did Peter take out from the box altogether?
- How many white beads did Peter have at first?
| |
Purple beads |
White beads |
Comparing purple beads
and white beads at first |
164 more |
|
| Before |
10 u |
4 u + 10 |
| Change |
- 10 u |
- 4 u |
| After |
0 |
10 |
(a)
If another 164 white beads are added into the box at first, the number of purple and white beads will be the same.
10 u = 4 u + 10 + 164
10 u - 4 u = 10 + 164
6 u = 174
1 u = 174 ÷ 6 = 29
Number of beads that Peter took out
= 10 u + 4 u
= 14 u
= 14 x 29
= 406
(b)
Number of beads that Peter had at first
= 406 + 10
= 416
Answer(s): (a) 406; (b) 416
